Give the newtons formula for the velocity of sound in air and state its assumptions
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According to gas law (Boyle's law),
PV = constant
where, P = pressure
V = volume of air
Differentiating above equation, we get
Differentiation of Boyle's Law
where, B is the bulk modulus of the air.
If B is the bulk modulus of the air, v is velocity and ρ is the density, then, velocity is given by:
Relationship of velocity or air with bulk modulus and density
This is the required expression for velocity of sound in air.
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